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Finding the Fourth Proportional to 3,876.66, 5,351.67 and 3,627.99

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Solution

The fourth proportional to 3,876.66, 5,351.67 and 3,627.99 is: 5,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.66 : 5,351.67 = 3,627.99 : x
  2. Step 2: Convert to fraction form
    3,876.66/5,351.67 = 3,627.99/x
  3. Step 3: Cross multiply
    3,876.66x = 5,351.67 × 3,627.99
  4. Step 4: Simplify right side
    3,876.66x = 19,415,805.24
  5. Step 5: Solve for x
    x = 19,415,805.24/3,876.66
  6. Step 6: Final answer
    x = 5,008.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.